In my view Tolkien wanted her to die listening to the great seas upon beaches and the sea-birds crying (the sounds Frodo listened there under the trees), tasting the bitterness of her Choice to the very end.

The tale of Arwen is not about a choice with a possibility of regret, but about a choice with the certainty of regret, built on hope, buried under flowers. It is also why Tolkien stresses that Aragorn never came there again as a living man, though he did came there again for her in the end, being then more than memory.